What is the definition of a smooth projective curve given in following link(page 8, 2.3 Function fields):
http://www.ams.org/journals/bull/2013-50-01/S0273-0979-2012-01387-3/S0273-0979-2012-01387-3.pdf
2026-05-16 07:23:00.1778916180
Definition of a smooth projective curve
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Smooth means that it is not singular http://en.wikipedia.org/wiki/Algebraic_curve#Singularities
Projective means that it is in projective space instead of affine space http://en.wikipedia.org/wiki/Algebraic_curve#Plane_projective_curves
Curve means that it isn't a surface or something bigger (like a surface)